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Simplifying 7(x + 1) = 4(x + -2) + 4x Reorder the terms: 7(1 + x) = 4(x + -2) + 4x (1 * 7 + x * 7) = 4(x + -2) + 4x (7 + 7x) = 4(x + -2) + 4x Reorder the terms: 7 + 7x = 4(-2 + x) + 4x 7 + 7x = (-2 * 4 + x * 4) + 4x 7 + 7x = (-8 + 4x) + 4x Combine like terms: 4x + 4x = 8x 7 + 7x = -8 + 8x Solving 7 + 7x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 7x + -8x = -8 + 8x + -8x Combine like terms: 7x + -8x = -1x 7 + -1x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -1x = -8 + 0 7 + -1x = -8 Add '-7' to each side of the equation. 7 + -7 + -1x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -8 + -7 -1x = -8 + -7 Combine like terms: -8 + -7 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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